Can someone explain in the clearest way possible how to solve this problem and also does it involve using sin cos tan formulas?

Mathematics

1 answer:

baherus [9]3 years ago

8 0

9514 1404 393

Answer:

480 ft

Step-by-step explanation:

The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.

The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.

8 × 60 ft = 480 ft

The lighthouse is 480 feet away.

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Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to in

meriva

Lets solve the question,

Given dimensions are:

Length = 26 feet

Width = 14 feet

concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 26 + 2c

Width = 14 + 2c

She wants to build a wooden deck around the pool with a concrete walkway of width = w

Thus the dimensions of the wooden deck around the pool will be,

Length = $26 + 2c + 2w$

Width = $14 + 2c + 2w$

Now the perimeter of the wooden deck will be,

Perimeter = 2(length + width)

$= 2[(26 +2c + 2w) + 2(14 + 2c + 2w)] = 2(40 + 4c + 4w) = (80 + 8c + 8w)$

Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w

Perimeter = (80 + 8c + 8w)

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6 0

2 years ago

Find the rule.

mezya [45]

The first series uses a linear function with - 1 as first element and 1 as common difference, then the rule corresponding to the series is y = |- 1 + x|.

The second series uses a linear function with - 3 as second element as 2 as common difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.

<h3>What is the pattern and the function behind a given series?</h3>

In this problem we have two cases of arithmetic series, which are sets of elements generated by a condition in the form of linear function and inside absolute power. Linear functions used in these series are of the form:

y = a + r · x (1)

Where: